Question

Add the following expressions:

t – t² – t³ – 14; 15t³ + 13 + 9t – 8t²; 12t² – 19 – 24t and 4t – 9t² + 19t³

Answer 1

We have, (t – t² – t³ – 14) + (15t³ + 13 + 9t – 8t²) + (12t² – 19 – 24t) + (4t – 9t² + 19t³)

= t – t² – t³ – 14 + 15t³ + 13 + 9t – 8t² + 12t² – 19 – 24t + 4t – 9t² + 19t³

On combining the like terms,

= t + 9t – 24t + 4t – t² – 8t² + 12t² – 9t² – t³ + 15t³ + 19t³ – 14 + 13 – 19

= –10t – 6t² + 33t³ – 20

= 33t³ – 6t² – 10t – 20